Please use this identifier to cite or link to this item: http://scholarbank.nus.edu.sg/handle/10635/103285
Title: Fixed-sign solutions of a system of higher order difference equations
Authors: Wong, P.J.Y.
Agarwal, R.P. 
Keywords: Fixed-sign solutions
System of difference equations
Issue Date: 2000
Source: Wong, P.J.Y.,Agarwal, R.P. (2000). Fixed-sign solutions of a system of higher order difference equations. Journal of Computational and Applied Mathematics 113 (1) : 167-181. ScholarBank@NUS Repository.
Abstract: We consider the following system: Δmui(k) + fi(k, u1(k), u2(k), . . . , un(k)) = 0, k ∈ {0, 1, . . . , T}, Δjui(0) = 0, 0 ≤ j ≤ m - 3, αiΔm-2ui(0) - βiΔm-1ui(0) = 0, γiΔm-2ui(T + 1) + δiΔm-1ui(T + 1) = 0, i = 1, 2, . . . , n, where m ≥ 2, T ≥ m - 1, and for each 1 ≤ i ≤ n, αi > 0, γi > 0, βi ≥ 0, δi ≥ γi and αiγi(T + 1) + αiδi + βiγi > 0. Criteria are offered for the existence of single- and double-fixed-sign solutions of the system. © 2000 Elsevier Science B.V. All rights reserved.
Source Title: Journal of Computational and Applied Mathematics
URI: http://scholarbank.nus.edu.sg/handle/10635/103285
ISSN: 03770427
Appears in Collections:Staff Publications

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